Buoyed with its success in the Lok Sabha elections, the Congress contested the Bihar by-polls on its own, having cold-shouldered overtures of Rashtriya Janata Dal (RJD) chief Lalu Prasad and Lok Janshakti Party (LJP) president Ram Vilas Paswan.
The BJP and the Janata Dal-United (JD-U) alliance that is ruling the state contested elections together.
In Madhya Pradesh, bye-elections were held for Gohad and Tendukheda constituencies. In the BJP-ruled state, nearly 45 percent of voting was recorded in the two constituencies.
Namchi Singithong constituency in Sikkim recorded around 67 percent polling while Vikasnagar in Uttarakhand recorded approximately 55 percent of turnout.
In Delhi, the by-elections were held for Dwarka seat as the sitting legislator Mahabal Mishra (Congress) became an MP. The voter turnout in Delhi was a lowly 46 percent.
In Andhra pradesh where election took place for Tekkali constituency, over 70 percent voters cast their ballot.
The votes will be counted on Sep 14.